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Combined Variance of Multiple Groups
For $$k$$ groups:
$$\sigma^2=\frac{\sum_{i=1}^{k}n_i(\sigma_i^2+\bar{x}_i^2)}{\sum_{i=1}^{k}n_i}-\bar{x}^2$$
Usage
- Used when multiple datasets with known means and variances are combined.
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Combined Variance of Multiple Groups
For $$k$$ groups:
$$\sigma^2=\frac{\sum_{i=1}^{k}n_i(\sigma_i^2+\bar{x}_i^2)}{\sum_{i=1}^{k}n_i}-\bar{x}^2$$
Usage
- Used when multiple datasets with known means and variances are combined.
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